Determine the point at which the graph of the function has a horizontal tangent line. (If the function has no horizontal tangent line, enter NONE.) (x, y) = y = x +7 x

Q: 4. Find the f(x) = = value of the constant b for which f is continuous at x = -1 and determine…

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Q: Evaluate lim 24-2+ 1 -X 1 X

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line. Line…

A: Equation of tangent line parallel to given line on the function f have to find.

Q: 2 5 8 -B- -3 be written as a linear combination of the columns of A = 0 1 13 5. Can b not? 7 -17 Why…

A: A vector a of n dimension can be written as a linear combination of the vectors x,y and z each of…

Q: . Compute the derivative (r₁(t) · r₂(t)) if r₁(t) = (tº,t7, t8) 1₂(t) = (e¹0¹, e²¹, e³¹) (Use…

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Q: You can use the Law of Cosines (see Figure 3.41) to find an equation that relates and 0. Figure 3.41…

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Q: Solve the inequality R(x) ≤0, where R(x) = the graph of the function. 8- 4x-4 -, by using 2x-4' The…

A: The graph of the function R(x)=4x-42x-4 is given.

Q: -0.2 ()if A-¹ = [₁ 0.4 0.3 ₁,find Eigen values of cofactor matrix A. -0.1.

A: Given :A-1=-0.20.30.4-0.1

Q: lim g (y) where, g (y) = = Jy²+5 3-3y lim g(y) y² +5 if y -2 ify <-2 if y≥-2 g(y) --1 = -1.9 √y²+5…

A: We can draw the graph of the function and interpret the limit  of the function.

Q: Use the Generalized Power Rule to find the derivative of the function. h(z) = (5z2 − 9z + 8)4 h'(z)…

A: To find the derivative of the function.

Q: Form a polynomial whose zeros and degree are given. Zeros: 3, multiplicity 1; -2, multiplicity 2;…

A: Given: zeros:-2 mulitiplicity 1; zeros:-2 mulitplicity -2 degree 3

Q: x+y ye dy = dx

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Q: Find the unit tangent vector and the equations of the tangent line to the curve R(t) = (2sint, t,…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: g(x)= 3√√3x-2

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Q: Find the stationary points of the function y = x¹ - x³ +1. = • Use a sign diagram to classify each…

A: The given function is y=x4-x3+1. Differentiate with respect to x, to get dydx=4x3-3x2 The stationary…

Q: -5+ Use the graph of f(x) above to estimate the value of f'(-3) to one decimal plac f'(-3) =

A: Use Definition of limits to calculate f'(-3)

Q: B)Evaluate the integrals: i) f/2 (cosx)³ dydx, ii) f/²7/2 (siny)³ sinx dz dx dy . 0

A: cos3x=3cosx+cos3x4sin3x=3sinx-sin3x4

Q: Is the function continuous at x = -1? O Yes O No

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Q: 2. Let a = -784° a. Find an angle coterminal to a such that 0≤ 0 < 360° b. Find the reference angle…

A: To find out the coterminal angle.

Q: f(x) is shown in black (the thicker line), g(x) is shown in red (the thinner line). 8+ 7 6 5 4 3 2 1…

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Q: In Exercises 29 - 34, determine whether the sequence is bounded, bounded above, bounded below, or…

A: Determine whether the given sequence is bounded, bounded above or bounded below {an}={sin n}

Q: D. Tim x 3. 2x² +4. X-5

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Q: Problem 2.3: Find the G.S. of Hint: Recall relationship y' = d = dx dy = (x dx + y) y ³ dy dx (1²)

A: Please refer to the image below

Q: Find an equation of the tangent line to the curve y=x√x that is parallel to the line y = 6 + 6x. y =

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Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. -4t -4 tan²(x) dx

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Q: Find the second derivative of the function. (4x2 − x + 1)(x3 − 7)

A: Find second derivative  Solution is done in step 2

Q: List the interval(s) on which f is decreasing. The interval(s) on which f is decreasing is/are (Type…

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Q: Problem 2.4: Find the G.S. of the 2nd-order DE Hint: You may like a substitution u = xy" + 3y' = 7x6…

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Q: Given the equation 5πT 3 y = 2 sin (5 X The amplitude is: The period is: 20T 3 The horizontal shift…

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Q: 84. The Copy Shoppe charges $0.08 per copy for quantities up to and including 100 copies. For…

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Q: Find the points on the curve y = 2x³ + 3x² - 12x + 1 where the tangent line is horizontal. (x, y) =…

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Q: If   3x − 1 ≤ f(x) ≤ x2 − 3x + 8   for  x ≥ 0,  find   lim x→3 f(x).

A: Apply limits to the inequality

Q: Using the function y 4 x calculate the slope of the tangent line at the point 9, 9 Write the…

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Q: Find the Laurent series of the following function and the given constraint: f(z) 1 0-3+3+1+0=1 + } +…

A: As we know that 1-x-1=1+x+x2+......      is convergent if x&lt;1

Q: y + 3y = 2xe-3x y-2xy = et²

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Q: Find the inverse Z-transform using the residue theorem of the following X(Z) function: Z-1 {} +-2)}…

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Q: 5y2+x3y = cx

A: Here we have to eliminate the arbitrary constant.

Q: If f(x) = 7e-9 + 8x, determine the antiderivative of f (x). O 7e9 +8+ C O 7e-9 +4x²+C 7e²-8 x-8…

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Q: Find general solutions of the following differential equations. dy اليل dx = (y² + 1) cos x

A: As per the instruction, we will be answering the first question. We will be solving the following.…

Q: 3. Show √4+2√3 - √3, √6 + 4√2 – √2 are rational numbers.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: If f(x) = sinx, then lim (A) B C (D -2πT -1 1 f(2π)-f(x) = x 2π x-2п 2πT

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Q: sing the E, & definition.

A: Limx-3(x2+2x-1)=14.

Q: 2/3x=-8/3

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Q: 49. Find an equation of the line tangent to the graph of y = √x/(x + 1) at (a) x = 1; (b) x = 1.

A: We need to find equation of tangent.

Q: 1. 645/3

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Q: Sketch a graph of the function f(x) = = 4 cos 2 x

A: The graph of function f(x)= - 4cos(x/2) is

Q: Find the curvature of Y = √√4-X² at the point (√3, 1)

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Q: help  From the graphs of f and g in the figure, we find the following. (Assume that each point lies…

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Q: Is the function g(x) continuous at x = 2? G(x)= x-2' 4, for x # 2 Yes No for x=2 Choose the correct…

A: Using the formula:Average rate of change of F(x) at a,b is:    (F(a)-F(b))/(a-b)

Q: Which is the vector perpendicular to the vectors n₁ = (2, -3,0) and n2 = (1,7,9)?

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